1.Find and label the vertex and the line of symmetry. Graph the function.
F(x)= 3(x-2)

Ans . : Compare this equation with X2 = 4A F(X)

Then we can see that
4A = 1/3 and X = x - 2
This implies A = 1/13
To find vertex of the function, equating F(X) and X equal to 0.
Thus we have
F(X) = 0 and x -2 = 0 this gives F(x) = 0 and x =2
Thus vertex is (2, 0).
Line of symmetry is x = 2 .

GRAPH

2.Find and label the vertex and the line of symmetry. Graph the function f(x)=4x

Ans : Obviously the curve passes through ...

Solution Summary

This shows how to graph and find vertex, line of symmetry, and maximum or minimum values of given functions.

1. Give an example of a linear function and show at least one method of graphing it. By looking at the graph of a line, how can you tell if its slope is negative? What kind of line has a slope of zero and why?
2. Give an example of quadraticfunction and show at least one method of graphing it

See attachment
Graph each quadraticfunction and state its domain and range
\
Find the vertex and intercepts for each quadraticfunction. Sketch
the graph, and state the domain and range

(see attached for full problem description)
(a) Use the quadratic formula to determine, to the nearest tenth, the roots of the equation:
2x^2 + 1 = -4x.
(b) Determine the vertex of the parabola y = 2x^2 + 4x + 1. (recall the x value of the vertex is given by x = -b/2a)
(c) Use parts a and b to sketch the grap

How do you compute the intercepts of a quadraticfunction? In case of a quadraticfunction, why are there two x-intercepts and one y-intercept?
Which topic covered in this class was the most challenging for you? Why? How did you overcome this challenge?
What is the meaning of "axis" in regards to a quadraticfunction? Why

1.For the following graph:
Suzanne suggests that the graph is most likely a quadraticfunction. Simon disagrees, as he believes that the function must be a quartic function. Who is correct? Explain.
2. Graph each function given below on a graphing calculator to find a general rule for determining when a graph crosses the x

Quadratic equations can be solved by graphing, using the quadratic formula, completing the square, and factoring. What are the pros and cons of each of these methods? When might each method be most appropriate? Which method do you prefer?
Why?

Section 8.2
#12 solve each equation by using the quadratic formula (what is this quadratic formula? Don't understand how this is done)
M^2 + 2m = 8
#20 Solve each equation by using the quadratic formula
4 + 20x = 25x^2
#28 solve each equation by using the quadratic formula
2y^2 + 1 = 2y
#42 Number solutions. Find b

Please see the attached file - Don't mind the graphing portion, work what can be worked. I have to input answers not write out the whole equation.
7. Find the vertex, line of symmetry, and the maximum or minimum value of a quadraticfunction, and graph the function.f(x) = -x +6x +2
The vertex is
8. Find the vertex,lin